The following are the scores on a job selection test administered prior to hiring (X) and supervisor's ratings after 3 months on the job (Y) for a group of bank tellers (A-F):

(a) Compute from these data the summary statistics required for developing the raw-score regression equation for predicting supervisor's rating from job selection score.
(b) Use the values from (a) to arrive at the regression equation in simplest form.
(c) Three new applicants for teller positions obtain scores of 48, 62, and 72, respectively, on the selection test. Compute their predicted supervisor's ratings.
(d) If in fact the above data were real, what objection would you have to using the equation from (b) to predict in a "real-life" situation?

Question

The following are the scores on a job selection test administered prior to hiring (X) and supervisor's ratings after 3 months on the job (Y) for a group of bank tellers (A-F): 
  
(a) Compute from these data the summary statistics required for developing the raw-score regression equation for predicting supervisor's rating from job selection score.
(b) Use the values from (a) to arrive at the regression equation in simplest form. 
(c) Three new applicants for teller positions obtain scores of 48, 62, and 72, respectively, on the selection test. Compute their predicted supervisor's ratings. 
(d) If in fact the above data were real, what objection would you have to using the equation from (b) to predict in a "real-life" situation?

Quizplus · Accepted Answer

The Answer is (a) (a) (b) (c)7.3, 8.9, 10.1 (answers obtained from regression equation as rounded in (b)) (d) regression equation based on far too few cases; it could well be considerably in error due to chance sampling variation.

(a) (b) (c)7.3, 8.9, 10.1 (answers obtained from regression equation as rounded in (b)) (d) regression equation based on far too few cases; it could well be considerably in error due to chance sampling variation.

(b)

(c)7.3, 8.9, 10.1 (answers obtained from regression equation as rounded in (b))
(d) regression equation based on far too few cases; it could well be considerably in error due to chance sampling variation.

The Following Are the Scores on a Job Selection Test